Cover Image

Curse of Dimensionality on Persistence Diagrams

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hiraoka, Yasuaki, Imoto, Yusuke, Kanazawa, Shu, Liu, Enhao
Format:	Preprint
Published:	2024
Subjects:	Statistics Theory Algebraic Topology Probability 62R40 (Primary) 55N31, 60B15, 60B20 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Persistent magnitude homology on finite metric space
by: Bi, Wanying, et al.
Published: (2026)

Limit Theorems for Verbose Persistence Diagrams
by: Joe, Jeong-hwi, et al.
Published: (2025)

Persistence-Based Statistics for Detecting Structural Changes in High-Dimensional Point Clouds
by: Nakayama, Toshiyuki
Published: (2025)

Universal Distances for Extended Persistence
by: Bauer, Ulrich, et al.
Published: (2020)

Algebraic Wasserstein distances and stable homological invariants of data
by: Agerberg, Jens, et al.
Published: (2023)

Measures determined by their values on balls and Gromov-Wasserstein convergence
by: van Delft, Anne, et al.
Published: (2024)

On the Expressivity of Persistent Homology in Graph Learning
by: Ballester, Rubén, et al.
Published: (2023)

On the Limits of Topological Data Analysis for Statistical Inference
by: Vishwanath, Siddharth, et al.
Published: (2020)

Harmonic Persistent Homology
by: Basu, Saugata, et al.
Published: (2021)

Equivariant algebraic models for relative self-equivalences and block diffeomorphisms
by: Berglund, Alexander, et al.
Published: (2025)

Interval Multiplicities of Persistence Modules
by: Asashiba, Hideto, et al.
Published: (2024)

Digital Euler Characteristic Transform
by: Kirveslahti, Henry, et al.
Published: (2024)

Interval Replacements of Persistence Modules
by: Asashiba, Hideto, et al.
Published: (2024)

New divergence measures between persistence diagrams and stability of vectorizations
by: Bravetti, Alessandro, et al.
Published: (2024)

MCbiF: Measuring Topological Autocorrelation in Multiscale Clusterings via 2-Parameter Persistent Homology
by: Schindler, Juni, et al.
Published: (2025)

Denoising data reduction algorithm for Topological Data Analysis
by: Choi, Seonmi, et al.
Published: (2026)

Persistent Cycle Representatives and Generalized Landscapes for Codimension 1 Persistent Homology
by: Lenzen, Fabian, et al.
Published: (2025)

How much of persistent homology is topology? A quantitative decomposition for spin model phase transitions
by: Loftus, Matthew
Published: (2026)

The Dual Degree Cech Bifiltration
by: Brun, Morten
Published: (2024)

Random Walks on Virtual Persistence Diagrams
by: Fanning, Charles, et al.
Published: (2026)

Topological Sequence Analysis of Genomes: Delta Complex approaches
by: Liu, Jian, et al.
Published: (2025)

Computing the Matching Distance of 2-Parameter Persistence Modules from Critical Values
by: Bapat, Asilata, et al.
Published: (2022)

The Asymptotics of the Expected Betti Numbers of Preferential Attachment Clique Complexes
by: Siu, Chunyin, et al.
Published: (2023)

A topology-based algorithm for the isomorphism check of 2-level Orthogonal Arrays
by: Fontana, Roberto, et al.
Published: (2024)

The Topological Behavior of Preferential Attachment Graphs
by: Siu, Chunyin
Published: (2024)

Alpha shapes in kernel density estimation
by: Carlsson, Erik, et al.
Published: (2023)

The stratified Grassmannian and its depth-one subcategories
by: Tetik, Ödül
Published: (2022)

Persistent Laplacian Diagrams
by: Jung, Inkee, et al.
Published: (2025)

A Stable Distance Persistence Homology for Dynamic Bayesian Network Clustering
by: Bales, Will, et al.
Published: (2026)

Fast Queries of Fibered Barcodes
by: Lesnick, Michael, et al.
Published: (2025)

Chromatic Alpha Complexes
by: di Montesano, Sebastiano Cultrera, et al.
Published: (2022)

Box Filtration
by: Alvarado, Enrique, et al.
Published: (2024)

Core Bifiltration
by: Blaser, Nello, et al.
Published: (2024)

The integration theory of curved absolute L-infinity algebras
by: Lucio, Victor Roca i
Published: (2022)

Convergence rate of empirical measures in the subspace robust Wasserstein distance
by: Vasan, Dakshesh
Published: (2025)

Analysing Multiscale Clusterings with Persistent Homology
by: Schindler, Juni, et al.
Published: (2023)

Interval Decomposition of Infinite Persistence Modules over a Principal Ideal Domain and Field Choice in Persistent Homology
by: Luo, Jiajie, et al.
Published: (2025)

On distributional one-category, diagonal distributional complexity, and related invariants
by: Jauhari, Ekansh, et al.
Published: (2025)

$K$-Bad Spheres
by: Bendersky, Martin, et al.
Published: (2026)

Models for rational $(\infty, 1)$-categories
by: Chatzitheodoridis, Eleftherios
Published: (2025)